Peggy. It sounds like you, as a songwriter, want to get one of your songs on the radio. I just don't think that is going to happen. Especially since you are a lyricist and not an artist. I don't think radio folks even care who the songwriter is. They only care who the artist is. Have they ever heard of him/her? Do they know the artist on some personal or professional level. In other words, it is the artist, not the songwriter, that will get the song played on the radio.
Now, that does not mean you cannot help promote an artist. By all means, DO. BUT, promote the ARTIST; NOT you or your songs. [You] CANNOT promote "the song" or yourself as a songwriter to the radio. Promote yourself and your songs to the artist. If the artist likes your songs, and he/she will if he/she has some involvement in the creation of the song, then the artist will use that song to promote himself/herself to the radio.
You live in Texas. Justin lives in Texas. Talk to him! He goes to Dallas once in a while for NSAI meetings (A lot farther drive than you have to make). He has written with local (meaning Texas) artists, and those ARTISTS have gotten "THEIR" song (Just happened to be co-written with Justin) on the radio. And at the time, Justin was just a lyricist. Right there is your BIGGEST connection. Go meet Justin in person. Get to know him. Find out how he did it.
Just my observation from socializing with a lot of hit songwriters. Come down to Frank Brown this Nov. 3-13, and meet some of these guys/gals. You WILL get an invaluable education.
phil g.